The price of pulses has increased by 40%. By whatprice should the increased price of the pulses shouldbe reduced so that the price of the pulses remainsunaltered?

Respuesta :

Answer:

The increased price must be decreased by 28.57%

[tex]28.57\text{ \%}[/tex]

Explanation:

Given that the price of pulses has increased by 40%.

Let x reprsent the initial price.

and f the increased price;

[tex]\begin{gathered} f=x+40\text{\% of x} \\ f=x+0.4x \\ f=1.4x \end{gathered}[/tex]

To bring the price back to x we want to calculate the percentage decrease;

[tex]\begin{gathered} P=\frac{f-x}{f}\times100\text{ \%} \\ P=\frac{1.4x-x}{1.4x}\times100\text{ \%} \\ P=\frac{0.4x}{1.4x}\times100\text{ \%} \\ P=28.57\text{ \%} \end{gathered}[/tex]

Therefore, the increased price must be decreased by 28.57%

[tex]28.57\text{ \%}[/tex]